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Double M · Answer 1 · 2018-07-31T09:35:32+0000

now, let's say there are "b" boys and "g" gals... ok... well, we know there are 116 more boys than gals..... so, if there are "g" gals then there must be "g + 116" boys.

$\bf \cfrac{boys}{girls}\qquad 9:7\qquad \cfrac{9}{7}\implies \cfrac{9}{7}=\cfrac{\stackrel{boys}{g+116}}{\stackrel{girls}{g}}\implies 9g=7g+812 \\\\\\ 2g=812\implies g=\cfrac{812}{2}\implies g=\stackrel{girls}{406}$

what's the total class? well is g + b or g + ( g + 116).

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